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Finding the Fourth Proportional to 11,944.14, 16,492.86 and 9,965.07

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Solution

The fourth proportional to 11,944.14, 16,492.86 and 9,965.07 is: 13,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.14 : 16,492.86 = 9,965.07 : x
  2. Step 2: Convert to fraction form
    11,944.14/16,492.86 = 9,965.07/x
  3. Step 3: Cross multiply
    11,944.14x = 16,492.86 × 9,965.07
  4. Step 4: Simplify right side
    11,944.14x = 164,352,504.40
  5. Step 5: Solve for x
    x = 164,352,504.40/11,944.14
  6. Step 6: Final answer
    x = 13,760.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.